Geometric methods for solving Codazzi and Monge-Ampère equations

DOI10.1007/BF01459727zbMath0934.53029OpenAlexW2086427009WikidataQ125073663 ScholiaQ125073663MaRDI QIDQ1318121

Ulrich Pinkall, Angela Schwenk-Schellschmidt, Udo Simon

Publication date: 10 April 2000

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165163

zbMATH Keywords

projective structureconformal structureMinkowski problemCodazzi equationovaloid

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Affine differential geometry (53A15)

Related Items

Generalized spherical functions on projectively flat manifolds, Transformation techniques for partial differential equations on projectively flat manifolds, Conformal structure in affine geometry: Complete Tchebychev hypersurfaces, Transformations and coupling relations for affine connections, Unnamed Item, Interaction of Codazzi couplings with (para-)Kähler geometry, Projectively flat surfaces, null parallel distributions, and conformally symmetric manifolds, Projective geometry on the bundle of volume forms, Geometric realizations of generalized algebraic curvature operators, Pontrjagin forms, Chern Simons classes, Codazzi transformations, and affine hypersurfaces

Cites Work

• Conjugate connections and Radon's theorem in affine differential geometry
• On the geometry of affine immersions
• The fundamental theorem in affine hypersurface theory
• On a certain class of homogeneous projectively flat manifolds
• A generalization of Lelieuvre's formula
• Global uniqueness for ovaloids in Euclidean and affine differential geometry
• Ricci-Calculus
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